Finding the Third Proportional to 3,468 and 3,834

Step by Step Solution

1. Step 1: Write the proportion equation
   3,468 : 3,834 = 3,834 : x
2. Step 2: Convert to fraction form
   3,468/3,834 = 3,834/x
3. Step 3: Cross multiply
   3,468x = 3,834 × 3,834
4. Step 4: Simplify right side
   3,468x = 14,699,556
5. Step 5: Solve for x
   x = 14,699,556/3,468
6. Step 6: Final answer
   x = 4,238.63